Greatest Common Factor of 9639 and 9642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9639, 9642 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9639 and 9642 is 3.

GCF(9639,9642) = 3

GCF of 9639 and 9642

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9639 and 9642

GCF of 9639 and 9642 is 3

Prime Factorization of 9639


3 9639
3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 9639 are 3,7,17. Prime factorization of 9639 in exponential form is:

9639 = 34×71×171

Prime Factorization of 9642


2 9642
3 4821
1607 1607
1

Prime factors of 9642 are 2,3,1607. Prime factorization of 9642 in exponential form is:

9642 = 21×31×16071

∴ So by taking common prime factors GCF of 9639 and 9642 is 3

Greatest Common Factor of 9639 and 9642 by matching factors method

Factors of 9639

List of positive integer factors of 9639 that divides 9639 without a remainder.

1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

Greatest Common Factor

We found the factors and prime factorization of 9639 and 9642. The biggest common factor number is the GCF number.
So the greatest common factor 9639 and 9642 is 3.

Also check out the Least Common Multiple of 9639 and 9642

Properties of GCF 9639 and 9642

(i) The GCF of 9639 and 9642 is associative

GCF of 9639 and 9642 = GCF of 9642 and 9639

Related Greatest Common Factor of 9639

Related Greatest Common Factor of 9642

Frequently Asked Questions on GCF of 9639 and 9642

1. What is the GCF of 9639 and 9642?

Answer: GCF of 9639 and 9642 is 3.

2. What are the Factors of 9639?

Answer: Factors of 9639 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639. There are 20 integers that are factors of 9639. The greatest factor of 9639 is 9639.

3. What are the Factors of 9642?

Answer: Factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642. There are 8 integers that are factors of 9642. The greatest factor of 9642 is 9642.

4. How to Find the GCF of 9639 and 9642?

Answer:

Greatest Common Factor of 9639 and 9642 = 3

Step 1: Find the prime factorization of 9639

9639 = 3 x 3 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 9642

9642 = 2 x 3 x 1607

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9639 and 9642 is 3